Answer
The temperature of the universe is $~~2.73~K$
Work Step by Step
We can find the temperature of the universe:
$\lambda_{max}~T = 2.898\times 10^{-3}~m~K$
$T = \frac{2.898\times 10^{-3}~m~K}{\lambda_{max}}$
$T = \frac{2.898\times 10^{-3}~m~K}{1.06\times 10^{-3}~m}$
$T = 2.73~K$
The temperature of the universe is $~~2.73~K$